Question 1

Express the function in the form f(x) = a(x - h)2 + k and indicate the vertex.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 2

Use the discriminant to determine whether the equation has two distinct real solutions, a single real solution, or no real
solution.
-

Accepted Answer

A)  two real solutions 
B)  one real solution 
C)  no real solution 
A)  two real solutions 
B)  one real solution 
C)  no real solution

Question 3

Determine which of the graphs is the graph of the equation.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 4

Find all x-intercepts of the function.
-

Accepted Answer

A)  (768, 0) 
B)  (512, 0) 
C)  (1024, 0) 
D)  (2048, 0) 
A)  (768, 0) 
B)  (512, 0) 
C)  (1024, 0) 
D)  (2048, 0)

Question 5

Solve the equation by the quadratic formula.
-

Accepted Answer

A)    
B)  -3, -9 
C)  -6 + 3i 
D)    
A)    
B)  -3, -9 
C)  -6 + 3i 
D)

Question 6

Solve the equation by completing the square.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 7

Solve the problem.
-The profit that a vendor makes per day by selling x pretzels is given by the function   Find the number of pretzels that must be sold to maximize profit.

Accepted Answer

A)  300 pretzels 
B)  600 pretzels 
C)  30 pretzels 
D)  0.6 pretzels 
A)  300 pretzels 
B)  600 pretzels 
C)  30 pretzels 
D)  0.6 pretzels

Question 8

Find the vertex and axis of symmetry of the graph of the function.
-

Accepted Answer

A)  vertex: (-2, 8); x = 8 
B)  vertex: (-2, 8); x = -2 
C)  vertex: (2, 4); x = 2 
D)  vertex: (2, 4); x = 4 
A)  vertex: (-2, 8); x = 8 
B)  vertex: (-2, 8); x = -2 
C)  vertex: (2, 4); x = 2 
D)  vertex: (2, 4); x = 4

Question 9

Solve the inequality and graph the solution real number line.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 10

Solve the equation by completing the square.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 11

Solve the inequality and graph the solution real number line.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 12

Solve the problem.
-A person is standing on the top of a building 50 feet above the ground. They project an object upward with an initial velocity of 40 feet per second. The object's distance above the ground, d, after t seconds may be found by
The formula   What is the maximum height the object will reach. How much time does it take
To fall back to the ground? Assume that it takes the same time for going up and coming down.

Accepted Answer

A)  maximum height = 75 ft; time to reach ground = 1.25 seconds 
B)  maximum height = 50 ft; time to reach ground = 1.25 seconds 
C)  maximum height = 50 ft; time to reach ground = 2.5 seconds 
D)  maximum height = 75 ft; time to reach ground = 2.5 seconds 
A)  maximum height = 75 ft; time to reach ground = 1.25 seconds 
B)  maximum height = 50 ft; time to reach ground = 1.25 seconds 
C)  maximum height = 50 ft; time to reach ground = 2.5 seconds 
D)  maximum height = 75 ft; time to reach ground = 2.5 seconds

Question 13

Match the graph with the appropriate function.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 14

Solve the equation by the quadratic formula.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 15

Factor the trinomial completely.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 16

Solve the problem.
-A twin-engined aircraft can fly 684 miles from city A to city B in 3 hours with the wind and make the return trip in 6 hours against the wind. What is the speed of the wind?

Accepted Answer

A)  38 mph 
B)  95 mph 
C)  76 mph 
D)  57 mph 
A)  38 mph 
B)  95 mph 
C)  76 mph 
D)  57 mph

Question 17

Solve for the indicated variable. Assume the variable you are solving for must be greater than 0.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 18

Solve the equation by completing the square.
-

Accepted Answer

A)  7 + 2i 
B)    
C)  5, 9 
D)    
A)  7 + 2i 
B)    
C)  5, 9 
D)

Question 19

Find all x-intercepts of the function.
-f(x) = x-2 + 8x-1 + 7

Accepted Answer

A)    
B)    
C)  (-1, 0), (-7, 0) 
D)  (1, 0), (7, 0) 
A)    
B)    
C)  (-1, 0), (-7, 0) 
D)  (1, 0), (7, 0)

Question 20

Find all x-intercepts of the function.
-

Accepted Answer

A)    
B)  (-2, 0), (-1, 0) 
C)  (16, 0) 
D)    
A)    
B)  (-2, 0), (-1, 0) 
C)  (16, 0) 
D)

Express the function in the form f(x) = a(x - h)2 + k and indicate the vertex. -

Use the discriminant to determine whether the equation has two distinct real solutions, a single real solution, or no real solution. -

Determine which of the graphs is the graph of the equation. -

Find all x-intercepts of the function. -

Solve the equation by the quadratic formula. -

Solve the equation by completing the square. -

Solve the problem. -The profit that a vendor makes per day by selling x pretzels is given by the function Find the number of pretzels that must be sold to maximize profit.

Find the vertex and axis of symmetry of the graph of the function. -

Solve the inequality and graph the solution real number line. -

Solve the equation by completing the square. -

Solve the inequality and graph the solution real number line. -

Match the graph with the appropriate function. -

Solve the equation by the quadratic formula. -

Factor the trinomial completely. -

Solve the problem. -A twin-engined aircraft can fly 684 miles from city A to city B in 3 hours with the wind and make the return trip in 6 hours against the wind. What is the speed of the wind?

Solve for the indicated variable. Assume the variable you are solving for must be greater than 0. -

Solve the equation by completing the square. -

Find all x-intercepts of the function. -f(x) = x-2 + 8x-1 + 7

Find all x-intercepts of the function. -

Real Numbers

Solving Linear Equations and Inequalities

Applications of Algebra

Graphing Linear Equations

Exponents and Polynomials

Factoring

Rational Expressions and Equations

Functions and Their Graphs

Systems of Linear Equations

Inequalities in One and Two Variables

Roots, Radicals, and Complex Numbers

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Appendix Review of Decimals and Percent

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Exam 12: Quadratic Functions

Express the function in the form f(x) = a(x - h)2 + k and indicate the vertex. -

Use the discriminant to determine whether the equation has two distinct real solutions, a single real solution, or no real solution. -

Determine which of the graphs is the graph of the equation. -

Find all x-intercepts of the function. -

Solve the equation by the quadratic formula. -

Solve the equation by completing the square. -

Solve the problem. -The profit that a vendor makes per day by selling x pretzels is given by the function Find the number of pretzels that must be sold to maximize profit.

Find the vertex and axis of symmetry of the graph of the function. -

Solve the inequality and graph the solution real number line. -

Solve the equation by completing the square. -

Solve the inequality and graph the solution real number line. -

Match the graph with the appropriate function. -

Solve the equation by the quadratic formula. -

Factor the trinomial completely. -

Solve the problem. -A twin-engined aircraft can fly 684 miles from city A to city B in 3 hours with the wind and make the return trip in 6 hours against the wind. What is the speed of the wind?

Solve for the indicated variable. Assume the variable you are solving for must be greater than 0. -

Solve the equation by completing the square. -

Find all x-intercepts of the function. -f(x) = x-2 + 8x-1 + 7

Find all x-intercepts of the function. -

Real Numbers

Solving Linear Equations and Inequalities

Applications of Algebra

Graphing Linear Equations

Exponents and Polynomials

Factoring

Rational Expressions and Equations

Functions and Their Graphs

Systems of Linear Equations

Inequalities in One and Two Variables

Roots, Radicals, and Complex Numbers

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Appendix Review of Decimals and Percent

Filters